Finding the Third Proportional to 193,266 and 415,111.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,266 : 415,111.50 = 415,111.50 : x
2. Step 2: Convert to fraction form
   193,266/415,111.50 = 415,111.50/x
3. Step 3: Cross multiply
   193,266x = 415,111.50 × 415,111.50
4. Step 4: Simplify right side
   193,266x = 172,317,557,432.25
5. Step 5: Solve for x
   x = 172,317,557,432.25/193,266
6. Step 6: Final answer
   x = 891,608.24